%0 Journal Article %T On Ueno's Conjecture K %A Jungkai A. Chen %A Christopher D. Hacon %J Mathematics %D 2008 %I arXiv %X We show that if $X$ is a smooth complex projective variety with Kodaira dimension $0$ then the Kodaira dimension of a general fiber of its Albanese map is at most $h^0(\Omega ^1 _X)$. %U http://arxiv.org/abs/0802.1060v1